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Fractional-in-time semilinear parabo...

Gal, Ciprian G.

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Fractional-in-time semilinear parabolic equations and applications

Record Type:	Electronic resources : Monograph/item
Title/Author:	Fractional-in-time semilinear parabolic equations and applications/ by Ciprian G. Gal, Mahamadi Warma.
Author:	Gal, Ciprian G.
other author:	Warma, Mahamadi.
Published:	Cham :Springer International Publishing : : 2020.,
Description:	xii, 184 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	Fractional differential equations. -
Online resource:	https://doi.org/10.1007/978-3-030-45043-4
ISBN:	9783030450434

Fractional-in-time semilinear parabolic equations and applications
Gal, Ciprian G.

Fractional-in-time semilinear parabolic equations and applications[electronic resource] /by Ciprian G. Gal, Mahamadi Warma. - Cham :Springer International Publishing :2020. - xii, 184 p. :ill., digital ;24 cm. - Mathematiques et applications,841154-483X ;. - Mathematiques et applications ;84..

This book provides a unified analysis and scheme for the existence and uniqueness of strong and mild solutions to certain fractional kinetic equations. This class of equations is characterized by the presence of a nonlinear time-dependent source, generally of arbitrary growth in the unknown function, a time derivative in the sense of Caputo and the presence of a large class of diffusion operators. The global regularity problem is then treated separately and the analysis is extended to some systems of fractional kinetic equations, including prey-predator models of Volterra-Lotka type and chemical reactions models, all of them possibly containing some fractional kinetics. Besides classical examples involving the Laplace operator, subject to standard (namely, Dirichlet, Neumann, Robin, dynamic/Wentzell and Steklov) boundary conditions, the framework also includes non-standard diffusion operators of "fractional" type, subject to appropriate boundary conditions. This book is aimed at graduate students and researchers in mathematics, physics, mathematical engineering and mathematical biology whose research involves partial differential equations.

ISBN: 9783030450434

Standard No.: 10.1007/978-3-030-45043-4doiSubjects--Topical Terms:

2184872
Fractional differential equations.

LC Class. No.: QA377

Dewey Class. No.: 515.3534

Fractional-in-time semilinear parabolic equations and applications
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100 1 $a Gal, Ciprian G. $3 3504321
245 1 0 $a Fractional-in-time semilinear parabolic equations and applications $h [electronic resource] / $c by Ciprian G. Gal, Mahamadi Warma.
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300 $a xii, 184 p. : $b ill., digital ; $c 24 cm.
490 1 $a Mathematiques et applications, $x 1154-483X ; $v 84
520 $a This book provides a unified analysis and scheme for the existence and uniqueness of strong and mild solutions to certain fractional kinetic equations. This class of equations is characterized by the presence of a nonlinear time-dependent source, generally of arbitrary growth in the unknown function, a time derivative in the sense of Caputo and the presence of a large class of diffusion operators. The global regularity problem is then treated separately and the analysis is extended to some systems of fractional kinetic equations, including prey-predator models of Volterra-Lotka type and chemical reactions models, all of them possibly containing some fractional kinetics. Besides classical examples involving the Laplace operator, subject to standard (namely, Dirichlet, Neumann, Robin, dynamic/Wentzell and Steklov) boundary conditions, the framework also includes non-standard diffusion operators of "fractional" type, subject to appropriate boundary conditions. This book is aimed at graduate students and researchers in mathematics, physics, mathematical engineering and mathematical biology whose research involves partial differential equations.
650 0 $a Fractional differential equations. $3 2184872
650 0 $a Differential equations, Parabolic. $3 560916
650 0 $a Differential equations, Partial. $3 518115
650 0 $a Applied mathematics. $3 2122814
650 0 $a Engineering mathematics. $3 516847
650 1 4 $a Partial Differential Equations. $3 890899
650 2 4 $a Applications of Mathematics. $3 890893
650 2 4 $a Mathematical Methods in Physics. $3 890898
700 1 $a Warma, Mahamadi. $3 3504322
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer Nature eBook
830 0 $a Mathematiques et applications ; $v 84. $3 3504323
856 4 0 $u https://doi.org/10.1007/978-3-030-45043-4
950 $a Mathematics and Statistics (SpringerNature-11649)